2(3-3x)+5=3(x-1)-7x

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Solution for 2(3-3x)+5=3(x-1)-7x equation: 


Simplifying
2(3 + -3x) + 5 = 3(x + -1) + -7x
(3 * 2 + -3x * 2) + 5 = 3(x + -1) + -7x
(6 + -6x) + 5 = 3(x + -1) + -7x

Reorder the terms:
6 + 5 + -6x = 3(x + -1) + -7x

Combine like terms: 6 + 5 = 11
11 + -6x = 3(x + -1) + -7x

Reorder the terms:
11 + -6x = 3(-1 + x) + -7x
11 + -6x = (-1 * 3 + x * 3) + -7x
11 + -6x = (-3 + 3x) + -7x

Combine like terms: 3x + -7x = -4x
11 + -6x = -3 + -4x

Solving
11 + -6x = -3 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
11 + -6x + 4x = -3 + -4x + 4x

Combine like terms: -6x + 4x = -2x
11 + -2x = -3 + -4x + 4x

Combine like terms: -4x + 4x = 0
11 + -2x = -3 + 0
11 + -2x = -3

Add '-11' to each side of the equation.
11 + -11 + -2x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -3 + -11
-2x = -3 + -11

Combine like terms: -3 + -11 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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